All categories

2 years ago

Factor the following using greatest common factor 6x^2y^3 - 3x^5yz +15x^2y^2

Mathematics

1 answer:

Georgia [21]2 years ago

8 0

Answer:

-3 x^2 y (x^3 z - 2 y^2 - 5 y)

Step-by-step explanation:

6(x^2)(y^3)

3(x^5)(y)(z)

15(x^2)(y^2)

take the least power:

x : 2

y : 1

z : 0

6,3,15: 3

Greatest common factor:

3(x^2)(y)

Factorize:

-3 x^2 y (x^3 z - 2 y^2 - 5 y)

You might be interested in

A kicker made 10 of his last 12 field goals. Predict about how many of his next 42 field goals the kicker will not make. Show yo

dimulka [17.4K]

The number of his next 42 field goals the kicker will not make will be 35.

<h3>What are ratio and proportion?</h3>

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A kicker made 10 of his last 12 field goals.

Predict the number of his next 42 field goals the kicker will not make will be

Let x be the number of his next 42 field goals the kicker will not make.

Then we have

x / 10 ≠ 42 / 12

x ≠ 35

More about the ratio and the proportion link is given below.

brainly.com/question/14335762

#SPJ1

4 0

2 years ago

The volume V of a gas varies inversely as the pressure P and directly as the temperature A certain gas has a volume of 10 liters

Ad libitum [116K]

Answer:

Joint variation states that:

If z is directly proportional to x and inversely proportional to y,

i.e, $z \propto x$ , $z \propto \frac{1}{y}$

then the equation is in the form: $z = k\frac{x}{y}$ where k is the constant of variation.

From the given information: The volume V of a gas varies inversely as the pressure P and directly as the temperature

i.,e $V \propto T$ , $V \propto \frac{1}{P}$

by definition of joint variation:

$V = k\frac{T}{P}$ .....[1] where k is the constant of variation.

It is also given that a certain gas has a volume of 10 liters(L) , a temperature of 300 kelvins(K), and a pressure of 1.5 atmosphere(atm).

Substitute these given values in [1] to solve for k;

$10 = k\frac{300}{1.5}$

Simplify:

$10 = 200k$

Divide by 200 both sides we have;

$k = \frac{10}{200} =\frac{1}{20}$

Now, if a gas has a temperature of 400 kelvins and a pressure of 5 atm.

To find the volume (V);

Now substitute the given data and value of k in [1] we have;

$V = \frac{1}{20} \cdot \frac{400}{5} = \frac{20}{5} = 4$

Therefore, the Volume of a gas is, 4 liters

5 0

3 years ago

Quiennzmamamsmmsmsmsmssnzns

jarptica [38.1K]

Wow good job lol- umm get into it I guess

4 0

3 years ago

PLEASE HELP WILL GIVE BRAINLIIEST 20 POINTS 6TH GRADE ASAP PLEASE

nignag [31]

Answer:

Both A and B

Step-by-step explanation:

For functions you are just trying to make sure all the x's are different.

So let's look at A: The x's there are all different so it is a function

Now let's look at B: The x's there are all different so it is a function.

Both A and B

6 0

3 years ago

I need help with this

MrRissso [65]

Answer:

Step-by-step explanation:

1/2

4 0

3 years ago